{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:O2ZCZPNSXDW3AZKZEPI2F52MN7","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"45317e66c6f53ee4295feba121947f03167160ee392f1c5ceaf98366eea519c9","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-07-09T18:48:55Z","title_canon_sha256":"215e674daa5573d847511a7df11419330dcde1b53d8071526e50c82d2ef2abfa"},"schema_version":"1.0","source":{"id":"hep-th/9807062","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9807062","created_at":"2026-05-18T02:35:54Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9807062v4","created_at":"2026-05-18T02:35:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9807062","created_at":"2026-05-18T02:35:54Z"},{"alias_kind":"pith_short_12","alias_value":"O2ZCZPNSXDW3","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"O2ZCZPNSXDW3AZKZ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"O2ZCZPNS","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:689fbe0dca78624c285fccc17bb5648fc2b1d89b00542ed3ca1bae02d9c91635","target":"graph","created_at":"2026-05-18T02:35:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We construct a bi-linear form on the periods of Calabi-Yau spaces. These are used to obtain the prepotentials around conifold singularities in type-II strings compactified on Calabi-Yau space. The explicit construction of the bi-linear forms is achieved for the one-moduli models as well as two moduli models with K3-fibrations where the enhanced gauge symmetry is known to be observed at conifold locus. We also show how these bi-linear forms are related with the existence of flat coordinates. We list the resulting prepotentials in two moduli models around the conifold locus, which contains alpha","authors_text":"H.Suzuki (Hokkaido Univ.), T.Masuda","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1998-07-09T18:48:55Z","title":"Prepotentials, Bi-linear Forms on Periods and Enhanced Gauge Symmetries in Type-II Strings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9807062","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0ba210a4fea60862a7d1a7594ea5d10aa4e9ddcd750a8bbc3cb1cb1627273bae","target":"record","created_at":"2026-05-18T02:35:54Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"45317e66c6f53ee4295feba121947f03167160ee392f1c5ceaf98366eea519c9","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1998-07-09T18:48:55Z","title_canon_sha256":"215e674daa5573d847511a7df11419330dcde1b53d8071526e50c82d2ef2abfa"},"schema_version":"1.0","source":{"id":"hep-th/9807062","kind":"arxiv","version":4}},"canonical_sha256":"76b22cbdb2b8edb0655923d1a2f74c6ff481c5f3b3006be60692674d1cfe77a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"76b22cbdb2b8edb0655923d1a2f74c6ff481c5f3b3006be60692674d1cfe77a9","first_computed_at":"2026-05-18T02:35:54.933125Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:54.933125Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BJ1vDyJNMZRGa06nDdstNefcvSzz3jfKEI+ZnSrsz97IwnPXjIz0S0wBnq+CUuMb4iTGcoVcUmLGF1WzxmtmAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:54.933758Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9807062","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ba210a4fea60862a7d1a7594ea5d10aa4e9ddcd750a8bbc3cb1cb1627273bae","sha256:689fbe0dca78624c285fccc17bb5648fc2b1d89b00542ed3ca1bae02d9c91635"],"state_sha256":"a329c68ef5de7c379d7aca6d47641a2a5aafc5f2bbea4f9970b651ae38f48461"}